Mersenne: Lucas-Lehmer sequence

[Joe Riegsecker]

Sorry if this is a trivial question, but I'm a non-mathematician who
stumbled onto GIMPS...

Does the Lucas-Lehmer sequence ever repeat, i.e., for a given
exponent, if L[m]=L[n], does that mean m=n?

Joe R

Laboring mightily on M5860579